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Rina took a loan at the rate of 15% comp...

Rina took a loan at the rate of 15% compound interest per annum. If she refunded Rs. 1290 after 2 years, then what sum of money did Rina take?

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Let the principal `=Rs. P`
As per question Rs. `p(1+15/100)^(2)=Rs. 1290+Rs. p`ltbr. Or `p(1+3/20)^(2)=1290+p` or `p(23/20)^(2)=1290+p`
or `p{(23/20)^(2)-1}=1290` or `p(529/400-1)=1290`
or `pxx129/400=1290impliesp=(1290xx400)/129impliesp=4000`
Hence Rina took a loan of Rs. 4000.
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